We introduce intrinsic Lipschitz hypersurfaces in Carnot-Carathéodory spaces and prove that intrinsic Lipschitz domains have locally finite perimeter. We also show the existence of a boundary trace operator for functions with bounded variation on Lipschitz domains and obtain extension results for such functions. In particular, we characterize their trace space.

Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathèodory spaces

VITTONE, DAVIDE
2012

Abstract

We introduce intrinsic Lipschitz hypersurfaces in Carnot-Carathéodory spaces and prove that intrinsic Lipschitz domains have locally finite perimeter. We also show the existence of a boundary trace operator for functions with bounded variation on Lipschitz domains and obtain extension results for such functions. In particular, we characterize their trace space.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11577/2478489
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